Abstract
We prove that wandering components of the Julia set of a polynomial are singletons provided each critical point in a wandering Julia component is non-recurrent. This means a conjecture of Branner-Hubbard is true for this kind of polynomials
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Yin, Y. The topology of Julia sets for polynomials. Sci. China Ser. A-Math. 45, 1020–1024 (2002). https://doi.org/10.1007/BF02879985
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DOI: https://doi.org/10.1007/BF02879985